Research on Tactical Missile Aerodynamic Parameter Online Identification Method Based on SVD-CKF
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摘要:
在导弹气动参数辨识领域,传统扩展卡尔曼滤波(extended Kalman filter ,EKF)算法往往计算复杂、计算精度低,且求解系统雅各比矩阵难.针对这个问题,本文提出了一种基于SVD-CKF的战术导弹气动参数在线辨识方法.利用容积卡尔曼滤波(cubature Kalman filter ,CKF)的容积点线性化特性,避免了对雅各比矩阵的直接求解,从而降低了计算复杂度.同时,通过引入奇异值分解(singular value decomposition ,SVD)技术,有效解决了传统CKF算法中可能导致协方差矩阵负定的情况,进一步提升了滤波稳定性.仿真结果表明,在六自由度战术导弹气动参数在线辨识问题中,SVD-CKF算法展现更高的辨识精度、更快的收敛速度以及更强的鲁棒性.
Abstract:
In the field of missile aerodynamic parameter identification, traditional extended kalman filter (EKF) algorithms often encounter issues such as high computational complexity, low accuracy, and difficulties in solving the system’s Jacobian matrix. To address these challenges, an online identification method for missile aerodynamic parameters based on singular value decomposition-cubature kalman filter (SVD-CKF) is proposed. Leveraging the cubature point linearization characteristic of CKF, this method avoids the direct solution of the Jacobian matrix, thereby reducing computational complexity. Additionally, by introducing Singular Value Decomposition (SVD) technology, it effectively resolves the issue of potential negative definiteness in the covariance matrix that may arise in traditional CKF algorithms, further enhancing filter stability. Simulation results demonstrate that in the context of online identification of aerodynamic parameters for six-degree-of-freedom tactical missiles, the SVD-CKF algorithm exhibits higher identification accuracy, faster convergence speed, and stronger robustness.